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Scott Corporation is considering the purchase of new equipment costing $30,000.

ID: 2347427 • Letter: S

Question

Scott Corporation is considering the purchase of new equipment costing $30,000. The projected annual after-tax net income from the equipment is $1,200, after deducting $10,000 for depreciation. The revenue is to be received at the end of each year. The machine has a useful life of 3 years and a $4,000 salvage value. Scott requires a 12% return on its investments. The factors for the present value of $1 for different periods follow:



What is the net present value of the machine and what is the maximum Scott would have been willing to pay for it?

-$900 but Scott would not be willing to acquire the machine.

-$(251.52) but the price Scott would pay cannot be determined.

-$900 and Scott would be willing to pay $30,900 to acquire the machine.

-$(251.52) and Scott would be willing to pay $29,748.48 for the machine.

-$(251.52) but Scott would not pay any amount to acquire the machine because the NPV is negative.


Explanation / Answer

Scott Corporation is considering the purchase of new equipment costing $30,000. The projected annual after-tax net income from the equipment is $1,200, after deducting $10,000 for depreciation. The revenue is to be received at the end of each year. The machine has a useful life of 3 years and a $4,000 salvage value. Scott requires a 12% return on its investments. The factors for the present value of $1 for different periods follow:

What is the net present value of the machine and what is the maximum Scott would have been willing to pay for it?

-$900 but Scott would not be willing to acquire the machine.

-$(251.52) but the price Scott would pay cannot be determined.

-$900 and Scott would be willing to pay $30,900 to acquire the machine.

-$(251.52) and Scott would be willing to pay $29,748.48 for the machine.

-$(251.52) but Scott would not pay any amount to acquire the machine because the NPV is negative.




































After tax net income

Depreciation

Cash flow after tax

PV factor

Total PV

0

-30,000

1

-30000

   1 - 3 years

1,200

10,000

11,200

2.4018

26900.16

NPV =

-3099.84

The project should not be accepted as the NPV is negative which means that the present value of cash inflows is less than the initial investment.


After tax net income



Depreciation



Cash flow after tax



PV factor



Total PV





0







-30,000



1



-30000



   1 - 3 years



1,200



10,000



11,200



2.4018



26900.16











NPV =



-3099.84


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